Asked by bethel
If 3 is raised to the 59th power, i.e. 359, what is the units digit? The units digit is the digit in the ones place. Explain the method used to find your answer.
Answers
Answered by
MathMate
3<sup>1</sup>=3
3<sup>2</sup>=9
3<sup>3</sup>=27
3<sup>4</sup>=81
3<sup>5</sup>=243
...
So we conclude that 3 raised to any power divisible by 4 ends with a 1.
Similarly, 3 raised to any power "divisible by 4 minus one", such as 3, 7, 11, ... ends with a 7.
Can you figure out the answer for 3^59 (noting that 59=4*15-1)?
3<sup>2</sup>=9
3<sup>3</sup>=27
3<sup>4</sup>=81
3<sup>5</sup>=243
...
So we conclude that 3 raised to any power divisible by 4 ends with a 1.
Similarly, 3 raised to any power "divisible by 4 minus one", such as 3, 7, 11, ... ends with a 7.
Can you figure out the answer for 3^59 (noting that 59=4*15-1)?
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.